Local and 2-local derivations on filiform associative algebras

K. K. Abdurasulov, Sh. A. Ayupov, B. B. Yusupov

Publication date: 24 May 2023

Abstract: This paper is devoted to the study of local and 2-local derivations of nullfiliform, filiform and naturally graded quasi-filiform associative algebras. We prove that these algebras as a rule admit local derivations which are not derivations. We show that filiform and naturally graded quasi-filiform associative algebras admit 2-local derivations which are not derivations and any 2-local derivation of null-filiform associative algebras is a derivation.

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